Abstract
Taking into account the analysis of the process technology features occurring in the ore-thermal furnace bath, the author justified the application of two-layer homogeneous models by electric conductance of medium in the multi-electrode round furnace bath in the vertical or horizontal direction used during calculating electric field. Laplace’s equation analytical decisions were obtained for the offered bath medium structures by means of analytical numerical method based on the combination of methods: equivalent source method, mirror reflection method, superposition method, variable separation method and the least-squares method. The function that determines the bath electrical field potential is calculated as a sum of harmonic functions. One part of them determines the electrical field potential distribution of the sources in the bath being homogeneous by conductance and infinite in the radial direction. The other part takes into account sidewall influence upon the electric field sources in the bath with uniform medium by conductance, and the third one takes into account bath medium conductance non-uniformity. The function that determines the bath electrical field potential is calculated as a sum of productions each of which is presented by a real function characterizing electrical field potential distribution in the bath no-load rated conditions for one of the furnace electrode and by its current in the complex form. In its turn the function characterizing bath electrical field potential in the no-load rated conditions for one of the furnace electrode is calculated as a sum of harmonic functions. One part of these functions determines the electrical field potential distribution of the sources in the no-load rated conditions of the bath being infinite in the radial direction with uniform medium by conductance. The other part takes into account sidewall influence upon the electric field sources in the bath with uniform medium by conductance, and the third one – bath medium conductance non-uniformity. All the bath no-load rated conditions electrical fields are determined by the same sources system, in which currents differ for various no-load conditions.
Keywords
Round furnace bath, two-layer homogeneous model, Laplace’s equation, analytical numerical method, variables separation method, least-squares method.
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